Free group automorphisms, invariant orderings and topological applications
Group Theory
2014-10-01 v1 Geometric Topology
Abstract
We are concerned with orderable groups and particularly those with orderings invariant not only under multiplication, but also under a given automorphism or family of automorphisms. Several applications to topology are given: we prove that the fundamental groups of hyperbolic nonorientable surfaces, and the groups of certain fibred knots are bi-orderable. Moreover, we show that the pure braid groups associated with hyperbolic nonorientable surfaces are left-orderable.
Cite
@article{arxiv.math/0105205,
title = {Free group automorphisms, invariant orderings and topological applications},
author = {Dale Rolfsen and Bert Wiest},
journal= {arXiv preprint arXiv:math/0105205},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-15.abs.html